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Finding the Fourth Proportional to 4,664.63, 6,996.95 and 1,586.63

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Solution

The fourth proportional to 4,664.63, 6,996.95 and 1,586.63 is: 2,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.63 : 6,996.95 = 1,586.63 : x
  2. Step 2: Convert to fraction form
    4,664.63/6,996.95 = 1,586.63/x
  3. Step 3: Cross multiply
    4,664.63x = 6,996.95 × 1,586.63
  4. Step 4: Simplify right side
    4,664.63x = 11,101,527.86
  5. Step 5: Solve for x
    x = 11,101,527.86/4,664.63
  6. Step 6: Final answer
    x = 2,379.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.